[填空题]
A conical tank is beikb az b8 sd-91. suk2bl+ce2tryd,5rcng filled with water. The dimensions of the tank are shown d.ur 29t,c 2-lsbesz1+ka k rb8bcdy5 7ou:bdi 6r57w7at.;9xs j3kh wuedxz in the foll73 ;5ak s.tudbixuh9exor7dw:6 zj7 wowing diagram.
1.Show that an expression for the volume, V, in the tank in terms of the water level height, h, is
$V=\frac{\pi h^{3}}{27}$
2. The tank is being filled at a rate of 1 $\mathrm{~m}^{3} \mathrm{~min}^{-1}$ . Find the rate of change of the water height h at the instant when the water level is 2 $\mathrm{~m}$ high.
the water level height is rising at a rate of m/min(Omit to three decimal places)
